Geometric Crystals on Unipotent Groups and Generalized Young Tableaux

Details Geometric Crystals on Unipotent Groups and Generalized Young Tableaux Geometric Crystals on Unipotent Groups and Generalized Young Tableaux

2004-03-15

arxiv.org/abs/math/0403234v1

Mathematics

Quantum Algebra

LaTeX 17 pages

Scientific paper

We define geometric/unipotent crystal structure on unipotent subgroups of
semi-simple algebraic groups. We shall show that in $A_n$-case, their
ultra-discretizations coincide with crystals obtained by generalizing Young
tableaux.

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